a set of data has a correlation coefficient r = 0.15. is it reasonable to use the line of best fit to make…
a set of data has a correlation coefficient r = 0.15. is it reasonable to use the line of best fit to make predictions from the data?\no yes\no no\nexplain your reasoning.
Answer
Explanation:
Step1: Understand correlation coefficient
The correlation coefficient $r$ measures the strength and direction of a linear relationship. Values range from -1 to 1.
Step2: Analyze strength of relationship
A value of $r = 0.15$ is close to 0. This indicates a very weak linear relationship between the variables.
Step3: Determine prediction - making
When the linear relationship is weak, using the line of best - fit for predictions is not reliable.
Answer:
no